Home > MC2 > Chapter 7 > Lesson 7.1.6 > Problem7-59

7-59.

Lynne took a taxicab from her office to the airport. She had to pay $3$ per mile plus a $5$ flat fee.

1. How much would she need to pay to go a distance of $2$ miles? How much to travel $8$ miles?

If each mile costs $3$, $2$ miles would cost $11$.
$6$ plus the flat fee of $5$.
How much would $8$ miles cost?

$2$ miles : \$11
$8$ miles: $29$

2. Her total cost was $23$. Represent the cost of her trip with an equation. How far did she travel? Show your work.

If we let a variable represent the miles traveled, we can create an expression to represent the cost for her transportation.

Since each mile costs $3$, this can be represented as $\3(x)$.
Because she had to also pay a flat fee, this can be represented as a constant, $5$.
$\3(x)+\5$

$\3(x)+\5=\23$
How many miles did she travel?